Suppose that 300 statistics students each took a random sample (with replacement) of 100 students at their college and recorded the ages of the students in their sample. Then each student used his or her data to calculate a 90% confidence interval for the mean age of all students at the college. How many of the 300 intervals would you expect to capture the true population mean age, and how many would you expect not to capture the true population mean? Explain by showing your calculation. The number of intervals expected to capture the true population mean is ____ (Type an integer or a decimal.) The number of intervals expected to not capture the true population mean is ____
Added by James M.
Step 1
First, a 90% confidence interval means that we are 90% confident that the true population mean falls within the interval. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Madhur L and 76 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Suppose that 200 statistics students each took a random sample (with replacement) of 50 students at their college and recorded the ages of the students in their sample. Then each student used his or her data to calculate a $95 \%$ confidence interval for the mean age of all students at the college. How many of the 200 intervals would you expect to capture the true population mean age, and how many would you expect not to capture the true population mean? Explain by showing your calculation.
Qudsiya A.
.) A college admissions director wishes to estimate the mean age of all students currently enrolled. In a random sample of 30 students, the mean age is found to be 22.9 years. From past studies, the standard deviation is known to be 1.5 years, and the population is normally distributed. Construct a Find the 90% confidence interval of the population mean age.
Ivan K.
'A researcher is interested in finding a 90% confidence interval for the mean number minutes students are concentrating on their professor during a one hour statistics lecture. The study included 115 students who averaged 39.8 minutes concentrating on their professor during the hour lecture. The standard deviation was 13.1 minutes. Round answers to 3 decimal places where possible. a To compute the confidence interval use a distribution. b. With 90% confidence the population mean minutes of concentration is between and minutes. C If many groups of 115 randomly selected members are studied, then a different confidence interval would be produced from each group: About percent of these confidence intervals will contain the true population mean minutes of concentration and about percent will not contain the true population mean minutes of concentration_'
Marc L.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD